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Label Polynomial Discriminant Galois group Class group
15.3.8716961002500000000000000.1 x15 - 30x10 - 3708x5 - 2 \( 2^{14}\cdot 3^{20}\cdot 5^{16} \) $C_{15} : C_4$ (as 15T6) Trivial (GRH)
15.15.897397249918108651776000000.1 x15 - 3x14 - 37x13 + 91x12 + 483x11 - 829x10 - 2993x9 + 2941x8 + 9853x7 - 3339x6 - 16675x5 - 2811x4 + 11401x3 + 6327x2 - 59x - 401 \( 2^{14}\cdot 3^{6}\cdot 5^{6}\cdot 37^{10} \) $C_{15} : C_4$ (as 15T6) Trivial (GRH)
15.15.1624481505652798074217271296.1 x15 - x14 - 43x13 + 95x12 + 384x11 - 1078x10 - 750x9 + 3194x8 + 2x7 - 3384x6 + 816x5 + 1106x4 - 303x3 - 77x2 + 5x + 1 \( 2^{12}\cdot 229^{10} \) $C_{15} : C_4$ (as 15T6) Trivial (GRH)
15.3.5039984751122500000000000000.1 x15 - 506x10 - 36760x5 + 972 \( 2^{14}\cdot 5^{16}\cdot 17^{10} \) $C_{15} : C_4$ (as 15T6) Trivial (GRH)


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